If `y=sqrt((1-x)/(1+x)),p rov et h a t(1-x^2)(dy)/(dx)+y=0`

Explanation

To prove that \( (1 - x^2) \frac{dy}{dx} + y = 0 \) given \( y = \sqrt{\frac{1 - x}{1 + x}} \), we will follow these steps:

### Step 1: Differentiate \( y \)
Given:
\[ y = \sqrt{\frac{1 - x}{1 + x}} \]
We will differentiate \( y \) with respect to \( x \) using the chain rule and the quotient rule.
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